Question

find the equation that represents the proportional relationship in this graph, for y in terms of x

Explanation:

Step1: Recall proportional form

Proportional relationships follow $y=kx$, where $k$ is the constant of proportionality.

Step2: Identify a point on the line

From the graph, when $x=6$, $y=18$.

Step3: Solve for $k$

Substitute $x=6$, $y=18$ into $y=kx$:
$$18 = k \times 6$$
$$k = \frac{18}{6} = 3$$

Step4: Write the final equation

Substitute $k=3$ back into $y=kx$.

Answer:

$y=3x$